Pith Number

pith:XXILYMLV

pith:2010:XXILYMLVBBHYURZWQHJAPZTHFT

not attested not anchored not stored refs pending

Hypersurfaces with small extrinsic radius or large $\lambda_1$ in Euclidean spaces

Erwann Aubry (JAD), Jean-Francois Grosjean (IECN), Julien Roth (LAMA)

arxiv:1009.2010 v2 · 2010-09-10 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXILYMLVBBHYURZWQHJAPZTHFT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:34:45.824422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd0bc3175084f8a473681d207e6672cd8a9a280d954b27512a46b88d679f14d

Aliases

arxiv: 1009.2010 · arxiv_version: 1009.2010v2 · doi: 10.48550/arxiv.1009.2010 · pith_short_12: XXILYMLVBBHY · pith_short_16: XXILYMLVBBHYURZW · pith_short_8: XXILYMLV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XXILYMLVBBHYURZWQHJAPZTHFT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bdd0bc3175084f8a473681d207e6672cd8a9a280d954b27512a46b88d679f14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369763b24bc3d78c53ad5e90cf70e797cd73cb38109e664240ac44c6d49f7fe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-10T13:31:45Z",
    "title_canon_sha256": "88fe48b160f1fc040cd98c19b6d4740e40a23c7cb83f1e6fb6c26349531420cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2010",
    "kind": "arxiv",
    "version": 2
  }
}